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Finding the Fourth Proportional to 10,469.61, 14,443.25 and 6,432.77

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Solution

The fourth proportional to 10,469.61, 14,443.25 and 6,432.77 is: 8,874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.61 : 14,443.25 = 6,432.77 : x
  2. Step 2: Convert to fraction form
    10,469.61/14,443.25 = 6,432.77/x
  3. Step 3: Cross multiply
    10,469.61x = 14,443.25 × 6,432.77
  4. Step 4: Simplify right side
    10,469.61x = 92,910,109.25
  5. Step 5: Solve for x
    x = 92,910,109.25/10,469.61
  6. Step 6: Final answer
    x = 8,874.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.